Showing math.NAShow all
3 papers · 1 filter
math.NA2025
A -Adaptive Hermite Method for Nonlinear Dispersive Maxwell's Equations
Yann-Meing Law, Zhichao Peng, Daniel Appelö +1
In this work, we introduce a novel Hermite method to handle Maxwell's equations for nonlinear dispersive media. The proposed method achieves high-order accuracy and is free of any…
math.NA2024
Energy-Conserving Hermite Methods for Maxwell's Equations
Daniel Appelo, Thomas Hagstrom, Yann-Meing Law-Kam-Cio
Energy-conserving Hermite methods for solving Maxwell's equations in dielectric and dispersive media are described and analyzed. In three space dimensions methods of order to…
math.NA2016
GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation
Arturo Vargas, Jesse Chan, Thomas Hagstrom +1
The Hermite methods of Goodrich, Hagstrom, and Lorenz (2006) use Hermite interpolation to construct high order numerical methods for hyperbolic initial value problems. The structur…